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Finding the Third Proportional to 120,258 and 259,773

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Solution

The third proportional to 120,258 and 259,773 is: 561,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,258 : 259,773 = 259,773 : x
  2. Step 2: Convert to fraction form
    120,258/259,773 = 259,773/x
  3. Step 3: Cross multiply
    120,258x = 259,773 × 259,773
  4. Step 4: Simplify right side
    120,258x = 67,482,011,529
  5. Step 5: Solve for x
    x = 67,482,011,529/120,258
  6. Step 6: Final answer
    x = 561,143.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.